The solutions of the equation $$\(x^{2}+b x+c=0\)$$ are $$\(\frac{-7+\sqrt{61}}{2}\)$$ and $$\(\frac{-7-\sqrt{61}}{2}\)$$. Find the value of $$\(b\)$$ and the value of $$\(c\)$$. $$\[ \begin{aligned} &b= ............................................\\ &c= ............................................ \end{aligned} \]$$

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